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Bunuel
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000


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Answer=D

100,000 microns=1,000,000,000 angstroms
Therefore, Angstroms/microns=10,000
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Bunuel
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000


Kudos for a correct solution.

Given that 100,000 microns = 1 decimeter
So, 1 micron = (1 * 1)/100,000
= 1/100,000 decimeter

Also, 1 decimeter = 1,000,000,000 angstorm
So, 1/100,000 decimeter = [(1/100,000) * 1,000,000,000]/1
= 10,000

Hence option (D).

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Bunuel
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000


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MAGOOSH OFFICIAL SOLUTION:
Attachment:
Arithmetic_Decimeters.png
Arithmetic_Decimeters.png [ 19.43 KiB | Viewed 16889 times ]
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Bunuel
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000


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Check other Conversion problems to practice in Special Questions Directory.
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Bunuel
If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000


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In Our School days we use to solve wavelength questions through (for physics lover)

1A--10^(-10)m
1 micron ----106(-6)m
so if we divide one by another we will get 1 micron ----10^4 angstrom
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If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?

A. 0.00001
B. 0.0001
C. 0.001
D. 10,000
E. 100,000


100,000 microns = 1 dec
1,000,000,000 angstroms = 1 dec

stripe of 5 0's in micron/dec line
stripe of 5 0's in the angstrom/dec line

You are left with 4 0's = 10,000

D.
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Converting the given information in exponent form & re-writing

\(10^5 microns = 10^9 angstroms\)

1 micron \(= 10^{9-5} = 10000\) angstroms

Answer = D
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Micron=Decimeter=Angstroms

\(1*10ˆ5=1=1*10ˆ9\)
or
\(1=1*10ˆ9/1*10ˆ5=1*10ˆ9-ˆ5=1*10ˆ4=10000\)
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100,000 microns = 1,000,000,000 angstroms

so 1 micron = 10,000 angstroms
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1 decimeter = 100,000 microns

1 decimeter = 1,000,000,000 angstroms

=>100,000 microns = 1,000,000,000 angstroms

=> 1 micron = 1,000 angstroms

Answer D
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Given,
1 dm (decimeter) = 10^5 microns - (i)
1 dm = 10^9 angstroms - (ii)
so, from (i) and (ii)
10^5 microns = 10^9 angstroms
=> 1 micron = 10^4 angstroms
option D satisfies.
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rahulbhusan
Given,
1 dm (decimeter) = 10^5 microns - (i)
1 dm = 10^9 angstroms - (ii)
so, from (i) and (ii)
10^5 microns = 10^9 angstroms
=> 1 micron = 10^4 angstroms
option D satisfies.

Please give kudos, if you like my explanation. Need to reach to 25kudos. Thanks in Advance :)

Please check rule 13 here: https://gmatclub.com/forum/rules-for-po ... 33935.html
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Bunuel
rahulbhusan
Given,
1 dm (decimeter) = 10^5 microns - (i)
1 dm = 10^9 angstroms - (ii)
so, from (i) and (ii)
10^5 microns = 10^9 angstroms
=> 1 micron = 10^4 angstroms
option D satisfies.

Please give kudos, if you like my explanation. Need to reach to 25kudos. Thanks in Advance :)

Please check rule 13 here: https://gmatclub.com/forum/rules-for-po ... 33935.html

Sure Brunel. Edited the post. Apologies!!
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We have :
10^5 m = 10^9 a
Divide both side by 10^5

We get : 1 m = 10^4 a

Hence answer D
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